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arXiv · 1811.02100

Harnack inequalities for positive solutions of the heat equation on closed Finsler manifolds

Cyrille Combete·Serge Degla·Leonard Todjihounde
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Abstract

The main goal of this paper is to generalize some Li-Yau type gradient estimates to Finsler geometry in order to derive Harnack type inequalities. Moreover, we obtain, under some curvature assumption, a general gradient estimate for positive solutions of the heat equation when the manifold evolving along the Finsler Ricci flow.

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BibTeXRIS

Cyrille Combete, Serge Degla, Leonard Todjihounde. 2018-11-06. Harnack inequalities for positive solutions of the heat equation on closed Finsler manifolds. https://arxiv.org/abs/1811.02100

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